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determinati nr natural x din:6·X+12·X+18·X+......108·X=6·9·19

Răspuns :

6·X+12·X+18·X+......108·X=6·9·19
6x(1 + 2 +3 + 4 + .. + 18) = 6*9*19
Dar 1 + 2 + 3 + 4 +...+18= 19 * 18:2= 19*9
Atunci rezulta ca:
6 * x * 19 * 9 = 6 * 9 * 19
Asta inseamna ca x=1
Deci x=1